This work demonstrates how one can obtain a feasible solution to water distribution network Optimization problems. In general, computing optimal solutions of such formulations are NP-Hard given non-convex constraints. We can obtain an approximate solution by relaxing some of the non-convex constraints. While applying the principles of optimization in a WDN, the Hazen–Williams equations are used to relate the flow of water in a pipe with the physical properties of the pipe such as pressure drop, flow measurements, etc. However, due to the non-linear/non-convex nature of the Hazen-Williams equation, pure linear programming cannot be directly applied to these equations, and heuristic techniques must need to be used. In this work, we solve a nonconvex optimization problem; where we compute the optimal dimensions of the pipes of the network. This is a particularly important problem, and it is necessary to compute an optimal solution while designing the physical infrastructure of the water network.
The project is licensed under the GNU General Public License v3.0.
- **Bragalli, Cristiana, et al. **. On the optimal design of water distribution networks: a practical MINLP approach.. Optimization and Engineering 13.2 (2012): 219-246. https://link.springer.com/article/10.1007/s11081-011-9141-7